Diffusion of a particle quadratically coupled to a thermally fluctuating field

Abstract

We study the diffusion of a Brownian particle quadratically coupled to a thermally fluctuating field. In the weak coupling limit, a path-integral formulation allows to compute the effective diffusion coefficient in the cases of an active particle, that tends to suppress the field fluctuations, and of a passive particle, that only undergoes the field fluctuations. We show that the behavior is similar to what was previously found for a linear coupling: an active particle is always slowed down, whereas a passive particle is slowed down in a slow field and accelerated in a fast field. Numerical simulations show a good agreement with the analytical calculations. The examples of a membrane protein coupled to the curvature or composition of the membrane are discussed, with focus on the room for anomalous diffusion.

11 pages, 6 figures

References in corpus (10)

• Critical Casimir forces in cellular membranes
• Symmetries of generating functionals of Langevin processes with colored multiplicative noise
• Corrections to the Saffman-Delbruck mobility for membrane bound proteins
• Lateral diffusion of a protein on a fluctuating membrane
• Hybrid Elastic/Discrete-Particle Approach to Biomembrane Dynamics with Application to the Mobility of Curved Integral Membrane Proteins
• Diffusion on Ruffled Membrane Surfaces
• Hybrid simulations of lateral diffusion in fluctuating membranes
• Fluctuations of the Casimir-like force between two membrane inclusions
• Curvature-coupling dependence of membrane protein diffusion coefficients
• Forces exerted by a correlated fluid on embedded inclusions

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• Dynamics and steady states of a tracer particle in a confined critical fluid
• Inducing oscillations of trapped particles in a near-critical Gaussian field
• Fluctuations of the critical Casimir force
• Structure and dynamics of a Rouse polymer in a fluctuating correlated medium
• Recoil of a driven tracer in a correlated medium
• Nonequilibrium relaxation of a trapped particle in a near-critical Gaussian field